Apply Newton's Method to approximate the x-value(s) of the indicated poin the process until two successive approximations differ by less than 0.001. X = f(x) = 2x + 2 g(x)=√x + 9 - 1.0 برد -0.5 y 4 -1 0.5 1.0 1.5 Xعلى 2.0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Apply Newton's Method to approximate the x-value(s) of the indicated poin
the process until two successive approximations differ by less than 0.001.
X =
f(x) = 2x + 2
g(x) = √x + 9
-1.0 -0.5
y
+
1
0.5
1.0
1.5
112
2.0
X
Transcribed Image Text:Apply Newton's Method to approximate the x-value(s) of the indicated poin the process until two successive approximations differ by less than 0.001. X = f(x) = 2x + 2 g(x) = √x + 9 -1.0 -0.5 y + 1 0.5 1.0 1.5 112 2.0 X
Apply Newton's Method using the given initial guess.
y = x³ - 2x - 2, X₁ = 0
X1 =
x2 =
X3 =
X4
||
−2
-3
Explain why the method fails.
2
X
Transcribed Image Text:Apply Newton's Method using the given initial guess. y = x³ - 2x - 2, X₁ = 0 X1 = x2 = X3 = X4 || −2 -3 Explain why the method fails. 2 X
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